The relaxation dynamics of the tasep with particle-dependent hopping probabilities on a ring

We study the totally asymmetric exclusion process on a ring in discrete time with the backward-ordered sequential update and particle-dependent jumping probabilities. Using our recent exact analytical expression for the generating function of the finite time transition probabilities, we find the ave...

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Bibliographic Details
Published inReports on mathematical physics Vol. 61; no. 2; pp. 239 - 246
Main Authors Poghosyan, V.S., Priezzhev, V.B.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2008
Subjects
backward sequential update
Bethe Ansatz
periodic boundary conditions
totally asymmetric exclusion process
periodic boundary conditions
backward sequential update
Bethe Ansatz
totally asymmetric exclusion process
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Summary:We study the totally asymmetric exclusion process on a ring in discrete time with the backward-ordered sequential update and particle-dependent jumping probabilities. Using our recent exact analytical expression for the generating function of the finite time transition probabilities, we find the average velocity per one particle at all stages of evolution. Evolution of small systems towards the steady state is demonstrated explicitly.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(08)80012-2